Lorentz signature and twisted spectral triples
Abstract
We show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We discuss the associated spectral action, both for fermions and bosons. What emerges is a tight link between twists and Wick rotation.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- March 2018
- DOI:
- 10.1007/JHEP03(2018)089
- arXiv:
- arXiv:1710.04965
- Bibcode:
- 2018JHEP...03..089D
- Keywords:
-
- Non-Commutative Geometry;
- Differential and Algebraic Geometry;
- SpaceTime Symmetries;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Mathematical Physics
- E-Print:
- minor corrections. To be published in JHEP